Ein universeller Begriff der asymptotischen Vollständigkeit in der nicht-relativistischen QED

• Antragsteller: Professor Dr. Wojciech Dybalski
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2012 bis 2013
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 213105674

• Erstellungsjahr: 2014

Zusammenfassung der Projektergebnisse

The project under report concerned scattering of particles in quantum field theory, especially infrared problems and the problem of complete particle interpretation (asymptotic completeness). A number of results have been obtained, both on the side of relativistic and non-relativistic quantum field theory. They concern mostly the construction of scattering states, the problem of existence of asymptotic observables and the relations between these two concepts. Transfer of methods from non-relativistic to relativistic quantum field theory provided new, unexpected insights into the asymptotic dynamics of relativistic systems. This new promising research direction will be pursued in a future project.

Projektbezogene Publikationen (Auswahl)

• The translation invariant massive Nelson model: III. Asymptotic completeness below the two-boson threshold
  W. Dybalski and J.S Møller
  
• A criterion for asymptotic completeness in local relativistic QFT. Commun. Math. Phys.
  W. Dybalski and C. Gérard
  (Siehe online unter https://doi.org/10.1007/s00220-014-2069-y)
• Coulomb scattering in the massless Nelson model I. Foundations of two-electron scattering. J. Stat. Phys. 154, (2014) 543–587
  W. Dybalski and A. Pizzo
  (Siehe online unter https://doi.org/10.1007/s10955-013-0857-y)